Algebraic invariant of $5$-qubits

Yi Hu, Junling Che

Jean-Gabriel Luque, Jean‐Yves Thibon

The Hilbert series of the algebra of polynomial invariants of pure states of five qubits is obtained, and the simplest invariants are computed.

Jean-Gabriel Luque, Jean‐Yves Thibon, Frédéric Toumazet

Jean-Gabriel Luque, Jean‐Yves Thibon

We consider the action of the group on fifth rank tensors on a two-dimensional space, that is, the Hilbert space of a five-qubit system. The Hilbert series of the algebra of polynomial invariants of five qubits pure states is obtained, and the simplest invariants are computed.

David Meyer, Noland Wallach

Swarnamala Sirsi, Veena Adiga